3666258892801 has 2 divisors, whose sum is σ = 3666258892802. Its totient is φ = 3666258892800.

The previous prime is 3666258892609. The next prime is 3666258892843. The reversal of 3666258892801 is 1082988526663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3361942273600 + 304316619201 = 1833560^2 + 551649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3666258892801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3666258892301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1833129446400 + 1833129446401.

It is an arithmetic number, because the mean of its divisors is an integer number (1833129446401).

Almost surely, 2^{3666258892801} is an apocalyptic number.

It is an amenable number.

3666258892801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3666258892801 is an equidigital number, since it uses as much as digits as its factorization.

3666258892801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 3666258892801 in words is "three trillion, six hundred sixty-six billion, two hundred fifty-eight million, eight hundred ninety-two thousand, eight hundred one".